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Is sinxy a separable differential equation?.

1 Answer

3 votes

Answer: y = y sin(x − y) It is not separable.

Explanation:

The solutions of y sin(x−y) = 0 are y = 0 and x−y = nπ for any integer n. The solution y = x−nπ is non-constant, therefore the equation cannot be separable.

User Matthieu
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